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Finding the Fourth Proportional to 9,309.84, 13,966.84 and 3,071.80

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Solution

The fourth proportional to 9,309.84, 13,966.84 and 3,071.80 is: 4,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.84 : 13,966.84 = 3,071.80 : x
  2. Step 2: Convert to fraction form
    9,309.84/13,966.84 = 3,071.80/x
  3. Step 3: Cross multiply
    9,309.84x = 13,966.84 × 3,071.80
  4. Step 4: Simplify right side
    9,309.84x = 42,903,339.11
  5. Step 5: Solve for x
    x = 42,903,339.11/9,309.84
  6. Step 6: Final answer
    x = 4,608.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.